AHSME 1995 Problem 16

Anita attends a baseball game in Atlanta and estimates that there are 50,000 fans in attendance. Bob attends a baseball game in Boston and estimates that there are 60,000 fans in attendance. A league official who knows the actual numbers attending the two games note that: i. The actual attendance in Atlanta is within $10 \%$ of Anita's estimate. ii. Bob's estimate is within $10 \%$ of the actual attendance in Boston. To the nearest 1,000, the largest possible difference between the numbers attending the two games is $\mathrm{(A) \ 10000 } \mathrm{(B) \ 11000 } \mathrm{(C) \ 20000 } \mathrm{(D) \ 21000 } \mathrm{(E) \ 22000 }$